Pith Number

pith:CBXRNGRZ

pith:2015:CBXRNGRZXCBA3QXOP7HNQMUODY

not attested not anchored not stored refs pending

Binary Adder Circuits of Asymptotically Minimum Depth, Linear Size, and Fan-Out Two

Sophie Theresa Spirkl, Stephan Held

arxiv:1503.08659 v3 · 2015-03-30 · cs.AR · cs.CC · cs.DC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBXRNGRZXCBA3QXOP7HNQMUODY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:52:34.591660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106f169a39b8820dc2ee7fced8328e1e2cd03d47b995c51b8ab725d4312b288a

Aliases

arxiv: 1503.08659 · arxiv_version: 1503.08659v3 · doi: 10.48550/arxiv.1503.08659 · pith_short_12: CBXRNGRZXCBA · pith_short_16: CBXRNGRZXCBA3QXO · pith_short_8: CBXRNGRZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CBXRNGRZXCBA3QXOP7HNQMUODY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 106f169a39b8820dc2ee7fced8328e1e2cd03d47b995c51b8ab725d4312b288a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259dc2b7dcd255983d6645a854197e4c4cd33f3746b0c11667b5a62eb38e628e",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AR",
    "submitted_at": "2015-03-30T13:02:53Z",
    "title_canon_sha256": "cda70e1fac012e2e6054084b7a89c1ff97269be71a90dedcfbb48cc8773c5be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08659",
    "kind": "arxiv",
    "version": 3
  }
}